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Around the Canonical Base Property

Connections for Women: Model Theory and Its Interactions with Number Theory and Arithmetic Geometry February 10, 2014 - February 11, 2014

February 11, 2014 (11:15 AM PST - 12:15 PM PST)
Speaker(s): Zoé Chatzidakis (École Normale Supérieure)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

v1270
Abstract

The Canonical Base Property (CBP for short) was introduced by Pillay, inspired by results in Complex geometry. It implies the dichotomy "modular/fields" for rank 1 types, and is satisfied by the two main examples of fields with operators. After giving the definition, I will discuss how one can prove it, some of its consequences, notably a descent result. I will also mention some applications to algebraic questions.
Supplements
20179?type=thumb Chatzidakis notes 140 KB application/pdf Download
Video/Audio Files

v1270

H.264 Video v1270.mp4 310 MB video/mp4 rtsp://videos.msri.org/data/000/019/928/original/v1270.mp4 Download
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